Jan 26, 2023 · I found a lot of resources of finding the area with $3D$ vectors, but none for $2D$. In this case, I'm not able to follow the steps of finding the cross product first, then magnitude and finally, the …

Apr 3, 2014 · 0 One way to do it would be to first find out the length of each of the 3 sides, by simply applying Pythagorus. e.g. AB = $\sqrt { (2-0)^2 + (1-1)^2 + (4-3)^2}=\sqrt5$ You can do this for all of …

I have to find the area of a triangle whose vertices have coordinates O$(0,0,0)$, A$(1,-5,-7)$ and B$(10,10,5)$ I thought that perhaps I should use the dot product to find the angle between the ...

Apr 7, 2012 · I have coordinates of 3d triangle and I need to calculate its area. I know how to do it in 2D, but don't know how to calculate area in 3d. I have developed data as follows. (119.91227722167969, …

Oct 18, 2017 · The area of the triangle will be some combination (sum and difference) of the areas of the trapezoids $\square ABB^\prime A^\prime$, $\square BCC^\prime B^\prime$, $\square CAA^\prime …

Dec 4, 2013 · Using Lagrange multipliers, it can be shown that a triangle with given perimeter has the maximum possible area, if it is equilateral. Is there a simple geometric proof of that fact ?

Calculate 3D triangle area by determinant Ask Question Asked 8 years, 10 months ago Modified 8 years, 10 months ago

27 Area of a Triangle from the Medians A triangle is divided in to $6$ equal areas by its medians: $\hspace {2cm}$ In the case where the two blue triangles share a common side of the triangle, it is …

Jun 8, 2013 · If perimeter of a triangle is $2d$, what is the length of sides so the triangle has maximal area? I found some solution using circle and angles, but I think I have to use derivatives. I need ...

(1) Incidentally, this formula shows that the sum of the angles of a spherical triangle must be greater than or equal to π, with equality holding in case the triangle has zero area.